Finding the Third Proportional to 768,465 and 1,669,824
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Solution
The third proportional to 768,465 and 1,669,824 is: 3,628,417.94
Step by Step Solution
- Step 1: Write the proportion equation
768,465 : 1,669,824 = 1,669,824 : x - Step 2: Convert to fraction form
768,465/1,669,824 = 1,669,824/x - Step 3: Cross multiply
768,465x = 1,669,824 × 1,669,824 - Step 4: Simplify right side
768,465x = 2,788,312,190,976 - Step 5: Solve for x
x = 2,788,312,190,976/768,465 - Step 6: Final answer
x = 3,628,417.94
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.